Part 3: Solve a real-world problem using a cube root functionOnce Isabel rented the warehouse space, she decided to post ads on
several social media sites toadvertise her online bookstore. represent the number ofmonths the ads have been posted. Isabelfinds that the function below describes the number of books sold as a function of the number ofmonthsher ads have been posted.f(x) 1000 (VX) 1000a) How many books were sold after 8 months?b) Graph the function.
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Answer:
Yes, there enough evidence to reject the claim.
Step-by-step explanation:
Here we need to perform a test for single mean to determine whether the mean cost of raising a child from birth to age 2 by husband-wife families in the U.S. is $13,960.
The hypothesis is:
<em>H₀</em>: The mean cost of raising a child from birth to age 2 by husband-wife families in the U.S. is $13,960, i.e. µ = $13,960.
<em>Hₐ</em>: The mean cost of raising a child from birth to age 2 by husband-wife families in the U.S. is different from $13,960, i.e. µ ≠ $13,960.
The information provided is:
The test statistic is:
The test statistic value is -2.24.
Compute the <em>p</em>-value for this test statistic value at 10% level of significance as follows:
Use the <em>z</em>-table.
The calculated <em>p</em>-value is, 0.0251 < 0.10, therefore the null hypothesis will be rejected.
<u>Conclusion</u>:
As the null hypothesis is rejected at 10% level of significance it can be concluded that there enough evidence to reject the claim.
The mean cost of raising a child from birth to age 2 by husband-wife families in the U.S. is different from $13,960.